Semigroup Analysis of Structured Parasite Populations
J. Z. Farkas, D. M. Green, P. Hinow (2010)
Mathematical Modelling of Natural Phenomena
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Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth. The mathematical model which describes the evolution of such a population is a first-order nonlinear partial integro-differential equation of hyperbolic type. First, we use positive perturbation arguments and utilise results from the...